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Simplifying k4x2 + 7k2x + 12 = 0 Reorder the terms: 12 + 7k2x + k4x2 = 0 Solving 12 + 7k2x + k4x2 = 0 Solving for variable 'k'. Factor a trinomial. (4 + k2x)(3 + k2x) = 0Subproblem 1
Set the factor '(4 + k2x)' equal to zero and attempt to solve: Simplifying 4 + k2x = 0 Solving 4 + k2x = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + k2x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + k2x = 0 + -4 k2x = 0 + -4 Combine like terms: 0 + -4 = -4 k2x = -4 Divide each side by 'x'. k2 = -4x-1 Simplifying k2 = -4x-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + k2x)' equal to zero and attempt to solve: Simplifying 3 + k2x = 0 Solving 3 + k2x = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + k2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + k2x = 0 + -3 k2x = 0 + -3 Combine like terms: 0 + -3 = -3 k2x = -3 Divide each side by 'x'. k2 = -3x-1 Simplifying k2 = -3x-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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